Pith Number

pith:MHOIQTWX

pith:1998:MHOIQTWXEV753DVTB56HRPGIG7

not attested not anchored not stored refs pending

Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics

Alan D. Rendall, Gerhard Rein

arxiv:gr-qc/9812061 v1 · 1998-12-17 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHOIQTWXEV753DVTB56HRPGIG7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:39:18.217290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61dc884ed7257fdd8eb30f7c78bcc837ed609bf8374e907cd241c2f7429ac071

Aliases

arxiv: gr-qc/9812061 · arxiv_version: gr-qc/9812061v1 · doi: 10.48550/arxiv.gr-qc/9812061 · pith_short_12: MHOIQTWXEV75 · pith_short_16: MHOIQTWXEV753DVT · pith_short_8: MHOIQTWX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MHOIQTWXEV753DVTB56HRPGIG7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 61dc884ed7257fdd8eb30f7c78bcc837ed609bf8374e907cd241c2f7429ac071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c607aa3a27c620bd08518727f379f7c7e715263564ab050634041046d3c105",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-12-17T14:09:32Z",
    "title_canon_sha256": "7e53a1e4498d0f5ae218aa5514e94966b41491c04ca1a1bb5ff98ab5a94ddcf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9812061",
    "kind": "arxiv",
    "version": 1
  }
}